Finding the Third Proportional to 450,123 and 680,004

Step by Step Solution

1. Step 1: Write the proportion equation
   450,123 : 680,004 = 680,004 : x
2. Step 2: Convert to fraction form
   450,123/680,004 = 680,004/x
3. Step 3: Cross multiply
   450,123x = 680,004 × 680,004
4. Step 4: Simplify right side
   450,123x = 462,405,440,016
5. Step 5: Solve for x
   x = 462,405,440,016/450,123
6. Step 6: Final answer
   x = 1,027,286.85